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Finding the Fourth Proportional to 498,712.10, 748,068.15 and 288,241.70

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Solution

The fourth proportional to 498,712.10, 748,068.15 and 288,241.70 is: 432,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,712.10 : 748,068.15 = 288,241.70 : x
  2. Step 2: Convert to fraction form
    498,712.10/748,068.15 = 288,241.70/x
  3. Step 3: Cross multiply
    498,712.10x = 748,068.15 × 288,241.70
  4. Step 4: Simplify right side
    498,712.10x = 215,624,435,271.86
  5. Step 5: Solve for x
    x = 215,624,435,271.86/498,712.10
  6. Step 6: Final answer
    x = 432,362.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.